Zahavasdad and others have pointed out that many popular Jewish songs are derivatives or direct copies of non-Jewish songs. But this issue is not simply a question of whether a particular song has been copied. Technically, there is nothing wrong with a tune solely because a non-Jew composed it; I would not be the first to point out classical music as a key example. The issue has far more shades of grey.
Firstly, an issue that bothers me, and many don’t realise, is the practice by many singers of composing/stealing/deriving a pop tune, that is to say, in a particular style, and simply shoehorning in whichever possuk they want. This is not necessarily a problem, simply often not appropriate. Yesh Tikva does not fall foul of this, as the words are composed too.
Also, many tunes are rip-offs of very unsavoury tunes, and do not make the transition well. Styles should stay fundamentally ‘Jewish’, and not stray into club tunes, as Lipa just did with his EDM club beat.
And finally, generally trying to mimic the latest styles is at best unbecoming.